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Finding the Fourth Proportional to 105,058.64, 157,585.08 and 34,939.28

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Solution

The fourth proportional to 105,058.64, 157,585.08 and 34,939.28 is: 52,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,058.64 : 157,585.08 = 34,939.28 : x
  2. Step 2: Convert to fraction form
    105,058.64/157,585.08 = 34,939.28/x
  3. Step 3: Cross multiply
    105,058.64x = 157,585.08 × 34,939.28
  4. Step 4: Simplify right side
    105,058.64x = 5,505,909,233.94
  5. Step 5: Solve for x
    x = 5,505,909,233.94/105,058.64
  6. Step 6: Final answer
    x = 52,407.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.